Theorems · Theorem · group theory
AddCon.ext
∀ {M : Type u_1} [inst : Add M] {c d : AddCon M}, (∀ (x y : M), c x y ↔ d x y) → c = dExtensionality rule for additive congruence relations.
- Defined in
- Mathlib.GroupTheory.Congruence.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddConstatement and proof · cited by 138
- AddCon.ext'proof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- AddCon.mk'_kerproof · cited by 1
- AddCon.to_addSubmonoid_injproof · cited by 0
- AddCon.comap_eqproof · cited by 0
- AddCon.congr_symmstatement · cited by 0
- QuotientAddGroup.con_addSubgroupproof · cited by 0
- QuotientAddGroup.con_ker_eq_addConKerproof · cited by 0
- AddCon.ext_iffproof · cited by 0
- AddCon.ker_mkAddHom_eqproof · cited by 0